102202457809408 has 480 divisors, whose sum is σ = 230604879593088. Its totient is φ = 45206364487680.

The previous prime is 102202457809369. The next prime is 102202457809411. The reversal of 102202457809408 is 804908754202201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100890875910 + ... + 100890876922.

Almost surely, 2^{102202457809408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102202457809408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115302439796544).

102202457809408 is an abundant number, since it is smaller than the sum of its proper divisors (128402421783680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102202457809408 is a wasteful number, since it uses less digits than its factorization.

102202457809408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 102202457809408 in words is "one hundred two trillion, two hundred two billion, four hundred fifty-seven million, eight hundred nine thousand, four hundred eight".